data_source stringclasses 1
value | prompt stringlengths 657 2.81k | ability stringclasses 1
value | reward_model stringlengths 1.3k 5.51k | extra_info stringlengths 30 34 |
|---|---|---|---|---|
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by angels and devils. Angels always tell the truth, and devils always lie. You meet 5 inhabitants: Lucas, Benjamin, David, Matthew, and Elizabeth. Lucas expressed that (David is an angel if and only if Elizabeth is an angel) or (if David is a devil t... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1032, \"statements\": [[\"or\", [\"<=>\", [\"telling-truth\", 2], [\"telling-truth\", 4]], [\"->\", [\"lying\", 2], [\"telling-truth\", 4]]], [\"and\", [\"not\", [\"lying\", 2]], [\"->\", [\"lying\", 0], [\"lying\", 4]]], [\"-... | {"split": "train", "index": 7700} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Aria, Michael, Harper, Sofia, and Oliver. As Aria put it, \"(Oliver is a knight and Michael is a knave) if and only if (Aria is a knight or Michael i... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1033, \"statements\": [[\"<=>\", [\"and\", [\"telling-truth\", 4], [\"lying\", 1]], [\"or\", [\"telling-truth\", 0], [\"lying\", 1]]], [\"and\", [\"<=>\", [\"telling-truth\", 0], [\"telling-truth\", 4]], [\"->\", [\"lying\", 2... | {"split": "train", "index": 7701} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by sages and fools. Sages always tell the truth, and fools always lie. You meet 5 inhabitants: James, Elizabeth, Liam, Jacob, and Grace. As James put it, \"(Liam is a sage or Grace is a fool) or Grace is a fool\". \"if Grace is a fool then (if Jacob ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1034, \"statements\": [[\"or\", [\"or\", [\"telling-truth\", 2], [\"lying\", 4]], [\"lying\", 4]], [\"->\", [\"lying\", 4], [\"->\", [\"telling-truth\", 3], [\"telling-truth\", 1]]], [\"and\", [\"or\", [\"telling-truth\", 1], ... | {"split": "train", "index": 7702} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by saints and sinners. Saints always tell the truth, and sinners always lie. You meet 5 inhabitants: Grace, Luke, Aria, Michael, and Ella. Grace stated, \"(Michael is a sinner and Grace is a saint) or (Ella is a saint)\". Luke said, \"(if Ella is a s... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1035, \"statements\": [[\"or\", [\"and\", [\"lying\", 3], [\"telling-truth\", 0]], [\"not\", [\"lying\", 4]]], [\"<=>\", [\"->\", [\"telling-truth\", 4], [\"lying\", 2]], [\"not\", [\"telling-truth\", 3]]], [\"->\", [\"lying\"... | {"split": "train", "index": 7703} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: James, Riley, William, Jack, and Samuel. James commented, \"(Jack is a knave) if and only if (William is a knave and Riley is a knight)\". Riley stat... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1036, \"statements\": [[\"<=>\", [\"not\", [\"telling-truth\", 3]], [\"and\", [\"lying\", 2], [\"telling-truth\", 1]]], [\"and\", [\"lying\", 2], [\"not\", [\"lying\", 2]]], [\"lying\", 4], [\"->\", [\"or\", [\"telling-truth\"... | {"split": "train", "index": 7704} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by altruists and egoists. Altruists always tell the truth, and egoists always lie. You meet 5 inhabitants: Isabella, Zoey, Jack, Daniel, and Jackson. In a statement by Isabella: \"Zoey is an altruist\". Zoey said, \"(Isabella is an egoist and Daniel ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1037, \"statements\": [[\"telling-truth\", 1], [\"or\", [\"and\", [\"lying\", 0], [\"telling-truth\", 3]], [\"->\", [\"telling-truth\", 1], [\"telling-truth\", 4]]], [\"not\", [\"->\", [\"lying\", 3], [\"telling-truth\", 4]]],... | {"split": "train", "index": 7705} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by heros and villains. Heros always tell the truth, and villains always lie. You meet 5 inhabitants: James, Samuel, Avery, Olivia, and Sophia. James expressed that Avery is a villain. Samuel said, \"(if Sophia is a villain then Olivia is a villain) i... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1038, \"statements\": [[\"lying\", 2], [\"<=>\", [\"->\", [\"lying\", 4], [\"lying\", 3]], [\"telling-truth\", 3]], [\"<=>\", [\"and\", [\"telling-truth\", 1], [\"lying\", 0]], [\"->\", [\"telling-truth\", 0], [\"telling-truth... | {"split": "train", "index": 7706} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by heros and villains. Heros always tell the truth, and villains always lie. You meet 5 inhabitants: Elizabeth, Ava, Avery, Logan, and Sebastian. Elizabeth commented, \"Sebastian is a hero\". \"(Avery is a hero if and only if Sebastian is a hero) and... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1039, \"statements\": [[\"telling-truth\", 4], [\"and\", [\"<=>\", [\"telling-truth\", 2], [\"telling-truth\", 4]], [\"->\", [\"telling-truth\", 0], [\"lying\", 4]]], [\"<=>\", [\"or\", [\"telling-truth\", 0], [\"lying\", 0]],... | {"split": "train", "index": 7707} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by angels and devils. Angels always tell the truth, and devils always lie. You meet 5 inhabitants: David, Jack, Sophia, Liam, and Harper. \"it is not the case that (Liam is a devil if and only if Sophia is a devil),\" David mentioned. In a statement ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1040, \"statements\": [[\"not\", [\"<=>\", [\"lying\", 3], [\"lying\", 2]]], [\"not\", [\"or\", [\"telling-truth\", 4], [\"lying\", 3]]], [\"not\", [\"not\", [\"telling-truth\", 1]]], [\"and\", [\"and\", [\"telling-truth\", 0]... | {"split": "train", "index": 7708} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by sages and fools. Sages always tell the truth, and fools always lie. You meet 5 inhabitants: Matthew, James, Jack, Chloe, and Riley. \"if (Matthew is a sage and James is a fool) then (James is a fool if and only if Jack is a sage),\" Matthew mentio... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1041, \"statements\": [[\"->\", [\"and\", [\"telling-truth\", 0], [\"lying\", 1]], [\"<=>\", [\"lying\", 1], [\"telling-truth\", 2]]], [\"or\", [\"->\", [\"lying\", 2], [\"telling-truth\", 1]], [\"or\", [\"lying\", 2], [\"tell... | {"split": "train", "index": 7709} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by saints and sinners. Saints always tell the truth, and sinners always lie. You meet 5 inhabitants: Lucas, Evelyn, Jack, Alexander, and Ava. Lucas noted, \"Alexander is a saint and (Evelyn is a saint if and only if Jack is a sinner)\". Evelyn stated... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1042, \"statements\": [[\"and\", [\"telling-truth\", 3], [\"<=>\", [\"telling-truth\", 1], [\"lying\", 2]]], [\"->\", [\"lying\", 4], [\"telling-truth\", 0]], [\"or\", [\"<=>\", [\"telling-truth\", 0], [\"lying\", 3]], [\"->\"... | {"split": "train", "index": 7710} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by heros and villains. Heros always tell the truth, and villains always lie. You meet 5 inhabitants: Alexander, Mason, Emily, Scarlett, and Daniel. \"(Alexander is a hero if and only if Emily is a villain) or (Mason is a villain),\" Alexander declare... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1043, \"statements\": [[\"or\", [\"<=>\", [\"telling-truth\", 0], [\"lying\", 2]], [\"not\", [\"telling-truth\", 1]]], [\"not\", [\"and\", [\"lying\", 0], [\"telling-truth\", 3]]], [\"not\", [\"or\", [\"lying\", 0], [\"telling... | {"split": "train", "index": 7711} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by saints and sinners. Saints always tell the truth, and sinners always lie. You meet 5 inhabitants: Owen, Michael, Aiden, Riley, and Penelope. Owen was heard saying, \"Riley is a saint\". In Michael's words: \"(Owen is a saint or Penelope is a sinne... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1044, \"statements\": [[\"telling-truth\", 3], [\"and\", [\"or\", [\"telling-truth\", 0], [\"lying\", 4]], [\"or\", [\"lying\", 3], [\"lying\", 4]]], [\"->\", [\"or\", [\"telling-truth\", 2], [\"lying\", 4]], [\"not\", [\"tell... | {"split": "train", "index": 7712} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Amelia, Abigail, Lucas, Elizabeth, and David. According to Amelia, \"it is not the case that (if Elizabeth is a knave then Amelia is a knight)\". Abi... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1045, \"statements\": [[\"not\", [\"->\", [\"lying\", 3], [\"telling-truth\", 0]]], [\"->\", [\"not\", [\"telling-truth\", 3]], [\"lying\", 3]], [\"<=>\", [\"not\", [\"telling-truth\", 0]], [\"not\", [\"telling-truth\", 1]]], ... | {"split": "train", "index": 7713} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by saints and sinners. Saints always tell the truth, and sinners always lie. You meet 5 inhabitants: Henry, Michael, Aiden, Lily, and Ava. Henry stated, \"if (Lily is a sinner and Ava is a sinner) then (Lily is a saint if and only if Aiden is a saint... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1046, \"statements\": [[\"->\", [\"and\", [\"lying\", 3], [\"lying\", 4]], [\"<=>\", [\"telling-truth\", 3], [\"telling-truth\", 2]]], [\"and\", [\"->\", [\"telling-truth\", 3], [\"lying\", 2]], [\"or\", [\"lying\", 2], [\"tel... | {"split": "train", "index": 7714} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by sages and fools. Sages always tell the truth, and fools always lie. You meet 5 inhabitants: Abigail, Michael, David, Alexander, and Emma. \"Michael is a sage,\" Abigail declared. In Michael's words: \"(Michael is a sage and Abigail is a fool) and ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1047, \"statements\": [[\"not\", [\"lying\", 1]], [\"and\", [\"and\", [\"telling-truth\", 1], [\"lying\", 0]], [\"lying\", 4]], [\"<=>\", [\"<=>\", [\"lying\", 4], [\"telling-truth\", 4]], [\"or\", [\"telling-truth\", 4], [\"t... | {"split": "train", "index": 7715} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by saints and sinners. Saints always tell the truth, and sinners always lie. You meet 5 inhabitants: Oliver, Penelope, Noah, James, and Ethan. Oliver was heard saying, \"(Oliver is a sinner) if and only if (if Ethan is a saint then Noah is a saint)\"... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1048, \"statements\": [[\"<=>\", [\"not\", [\"telling-truth\", 0]], [\"->\", [\"telling-truth\", 4], [\"telling-truth\", 2]]], [\"lying\", 0], [\"and\", [\"<=>\", [\"telling-truth\", 4], [\"lying\", 0]], [\"->\", [\"lying\", 4... | {"split": "train", "index": 7716} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by saints and sinners. Saints always tell the truth, and sinners always lie. You meet 5 inhabitants: Elizabeth, Liam, David, Benjamin, and Zoey. Elizabeth told you that it is not the case that (David is a saint). \"(Elizabeth is a saint) and (Benjami... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1049, \"statements\": [[\"not\", [\"not\", [\"lying\", 2]]], [\"and\", [\"not\", [\"lying\", 0]], [\"or\", [\"lying\", 3], [\"lying\", 0]]], [\"->\", [\"and\", [\"telling-truth\", 4], [\"lying\", 0]], [\"<=>\", [\"telling-trut... | {"split": "train", "index": 7717} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by sages and fools. Sages always tell the truth, and fools always lie. You meet 5 inhabitants: Chloe, Logan, Avery, Isabella, and Evelyn. In Chloe's words: \"(Chloe is a sage or Isabella is a fool) or (Evelyn is a sage and Logan is a sage)\". Accordi... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1050, \"statements\": [[\"or\", [\"or\", [\"telling-truth\", 0], [\"lying\", 3]], [\"and\", [\"telling-truth\", 4], [\"telling-truth\", 1]]], [\"->\", [\"not\", [\"telling-truth\", 3]], [\"<=>\", [\"telling-truth\", 2], [\"lyi... | {"split": "train", "index": 7718} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by altruists and egoists. Altruists always tell the truth, and egoists always lie. You meet 5 inhabitants: Ella, James, Lily, Ethan, and Avery. Ella was heard saying, \"it is not the case that (Avery is an egoist and Avery is an altruist)\". Accordin... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1051, \"statements\": [[\"not\", [\"and\", [\"lying\", 4], [\"telling-truth\", 4]]], [\"->\", [\"telling-truth\", 2], [\"<=>\", [\"telling-truth\", 1], [\"lying\", 4]]], [\"not\", [\"<=>\", [\"telling-truth\", 1], [\"telling-t... | {"split": "train", "index": 7719} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by saints and sinners. Saints always tell the truth, and sinners always lie. You meet 5 inhabitants: Chloe, Scarlett, Sophia, Emma, and Jackson. \"(Scarlett is a sinner if and only if Emma is a saint) and (if Chloe is a saint then Scarlett is a saint... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1052, \"statements\": [[\"and\", [\"<=>\", [\"lying\", 1], [\"telling-truth\", 3]], [\"->\", [\"telling-truth\", 0], [\"telling-truth\", 1]]], [\"->\", [\"->\", [\"telling-truth\", 1], [\"lying\", 3]], [\"telling-truth\", 4]],... | {"split": "train", "index": 7720} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by angels and devils. Angels always tell the truth, and devils always lie. You meet 5 inhabitants: Jack, Sophia, Chloe, David, and Aurora. \"Chloe is an angel,\" Jack mentioned. Sophia was heard saying, \"if (Aurora is a devil if and only if David is... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1053, \"statements\": [[\"telling-truth\", 2], [\"->\", [\"<=>\", [\"lying\", 4], [\"lying\", 3]], [\"and\", [\"telling-truth\", 1], [\"lying\", 0]]], [\"or\", [\"->\", [\"telling-truth\", 3], [\"telling-truth\", 0]], [\"not\"... | {"split": "train", "index": 7721} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by saints and sinners. Saints always tell the truth, and sinners always lie. You meet 5 inhabitants: Amelia, Sebastian, Emma, Benjamin, and Grace. As Amelia put it, \"it is not the case that (Grace is a sinner)\". In Sebastian's words: \"Emma is a sa... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1054, \"statements\": [[\"not\", [\"not\", [\"telling-truth\", 4]]], [\"telling-truth\", 2], [\"->\", [\"telling-truth\", 1], [\"->\", [\"lying\", 4], [\"telling-truth\", 1]]], [\"<=>\", [\"not\", [\"lying\", 2]], [\"->\", [\"... | {"split": "train", "index": 7722} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by angels and devils. Angels always tell the truth, and devils always lie. You meet 5 inhabitants: Elizabeth, Lucas, Scarlett, Sophia, and Chloe. Elizabeth stated, \"Sophia is an angel\". In a statement by Lucas: \"if Scarlett is a devil then (Elizab... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1055, \"statements\": [[\"telling-truth\", 3], [\"->\", [\"lying\", 2], [\"<=>\", [\"telling-truth\", 0], [\"lying\", 0]]], [\"and\", [\"not\", [\"telling-truth\", 1]], [\"<=>\", [\"telling-truth\", 1], [\"lying\", 0]]], [\"no... | {"split": "train", "index": 7723} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by altruists and egoists. Altruists always tell the truth, and egoists always lie. You meet 5 inhabitants: Harper, Henry, Sophia, Zoey, and Joseph. Harper asserted: \"if Zoey is an egoist then Joseph is an altruist\". In a statement by Henry: \"Sophi... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1056, \"statements\": [[\"->\", [\"lying\", 3], [\"telling-truth\", 4]], [\"lying\", 2], [\"->\", [\"->\", [\"telling-truth\", 3], [\"telling-truth\", 2]], [\"->\", [\"lying\", 0], [\"telling-truth\", 0]]], [\"or\", [\"<=>\", ... | {"split": "train", "index": 7724} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by angels and devils. Angels always tell the truth, and devils always lie. You meet 5 inhabitants: Penelope, Mia, Aiden, Olivia, and Sebastian. Penelope noted, \"Aiden is an angel\". \"(Mia is an angel if and only if Aiden is an angel) if and only if... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1057, \"statements\": [[\"telling-truth\", 2], [\"<=>\", [\"<=>\", [\"telling-truth\", 1], [\"telling-truth\", 2]], [\"and\", [\"lying\", 0], [\"telling-truth\", 4]]], [\"not\", [\"not\", [\"lying\", 3]]], [\"<=>\", [\"lying\"... | {"split": "train", "index": 7725} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by heros and villains. Heros always tell the truth, and villains always lie. You meet 5 inhabitants: Mason, Noah, Chloe, Aurora, and Evelyn. Mason expressed that if (if Evelyn is a villain then Evelyn is a hero) then (Evelyn is a villain or Aurora is... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1058, \"statements\": [[\"->\", [\"->\", [\"lying\", 4], [\"telling-truth\", 4]], [\"or\", [\"lying\", 4], [\"lying\", 3]]], [\"<=>\", [\"telling-truth\", 3], [\"or\", [\"telling-truth\", 1], [\"lying\", 4]]], [\"<=>\", [\"->\... | {"split": "train", "index": 7726} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by sages and fools. Sages always tell the truth, and fools always lie. You meet 5 inhabitants: Emma, Zoey, Aurora, Sophia, and Ava. According to Emma, \"Aurora is a sage\". Zoey was heard saying, \"(Emma is a sage) or Sophia is a fool\". In Aurora's ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1059, \"statements\": [[\"telling-truth\", 2], [\"or\", [\"not\", [\"lying\", 0]], [\"lying\", 3]], [\"not\", [\"<=>\", [\"telling-truth\", 1], [\"lying\", 1]]], [\"->\", [\"and\", [\"lying\", 4], [\"telling-truth\", 4]], [\"n... | {"split": "train", "index": 7727} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by sages and fools. Sages always tell the truth, and fools always lie. You meet 5 inhabitants: Michael, James, Joseph, Mason, and Ethan. \"(Joseph is a fool) if and only if (Ethan is a sage or Joseph is a sage),\" Michael declared. In a statement by ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1060, \"statements\": [[\"<=>\", [\"not\", [\"telling-truth\", 2]], [\"or\", [\"telling-truth\", 4], [\"telling-truth\", 2]]], [\"or\", [\"telling-truth\", 0], [\"->\", [\"lying\", 0], [\"lying\", 2]]], [\"and\", [\"or\", [\"t... | {"split": "train", "index": 7728} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by saints and sinners. Saints always tell the truth, and sinners always lie. You meet 5 inhabitants: Charlotte, Mason, Zoey, Scarlett, and Emma. Charlotte asserted: \"(Mason is a saint) if and only if (Mason is a sinner)\". Mason commented, \"Zoey is... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1061, \"statements\": [[\"<=>\", [\"not\", [\"lying\", 1]], [\"not\", [\"telling-truth\", 1]]], [\"lying\", 2], [\"not\", [\"and\", [\"telling-truth\", 0], [\"telling-truth\", 4]]], [\"lying\", 2], [\"not\", [\"<=>\", [\"telli... | {"split": "train", "index": 7729} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by sages and fools. Sages always tell the truth, and fools always lie. You meet 5 inhabitants: Grace, Liam, Ava, Evelyn, and Chloe. Grace commented, \"Liam is a fool\". Liam remarked, \"if (Chloe is a fool if and only if Ava is a sage) then (Evelyn i... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1062, \"statements\": [[\"lying\", 1], [\"->\", [\"<=>\", [\"lying\", 4], [\"telling-truth\", 2]], [\"and\", [\"lying\", 3], [\"telling-truth\", 3]]], [\"telling-truth\", 4], [\"and\", [\"not\", [\"telling-truth\", 3]], [\"and... | {"split": "train", "index": 7730} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by altruists and egoists. Altruists always tell the truth, and egoists always lie. You meet 5 inhabitants: Jack, Henry, Sebastian, Alexander, and Sophia. In Jack's words: \"(if Sebastian is an altruist then Sebastian is an egoist) if and only if (Ale... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1063, \"statements\": [[\"<=>\", [\"->\", [\"telling-truth\", 2], [\"lying\", 2]], [\"or\", [\"lying\", 3], [\"telling-truth\", 4]]], [\"not\", [\"<=>\", [\"telling-truth\", 0], [\"lying\", 0]]], [\"or\", [\"not\", [\"lying\",... | {"split": "train", "index": 7731} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by sages and fools. Sages always tell the truth, and fools always lie. You meet 5 inhabitants: Ella, Charlotte, Emily, Evelyn, and Olivia. Ella said, \"Evelyn is a fool.\" \"Ella is a fool,\" Charlotte mentioned. According to Emily, \"Evelyn is a foo... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1064, \"statements\": [[\"lying\", 3], [\"lying\", 0], [\"<=>\", [\"lying\", 3], [\"or\", [\"lying\", 4], [\"lying\", 3]]], [\"<=>\", [\"<=>\", [\"telling-truth\", 0], [\"telling-truth\", 3]], [\"or\", [\"lying\", 4], [\"lying... | {"split": "train", "index": 7732} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by altruists and egoists. Altruists always tell the truth, and egoists always lie. You meet 5 inhabitants: Samuel, Jacob, Emily, Lily, and Sofia. Samuel said, \"if Emily is an altruist then (if Lily is an altruist then Emily is an egoist).\" \"(Sofia... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1065, \"statements\": [[\"->\", [\"telling-truth\", 2], [\"->\", [\"telling-truth\", 3], [\"lying\", 2]]], [\"or\", [\"<=>\", [\"telling-truth\", 4], [\"lying\", 2]], [\"or\", [\"telling-truth\", 2], [\"telling-truth\", 0]]], ... | {"split": "train", "index": 7733} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by angels and devils. Angels always tell the truth, and devils always lie. You meet 5 inhabitants: Mia, Sophia, Amelia, Harper, and Daniel. Mia remarked, \"(Harper is an angel) if and only if (Sophia is a devil if and only if Sophia is an angel)\". S... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1066, \"statements\": [[\"<=>\", [\"not\", [\"lying\", 3]], [\"<=>\", [\"lying\", 1], [\"telling-truth\", 1]]], [\"not\", [\"<=>\", [\"telling-truth\", 4], [\"lying\", 4]]], [\"and\", [\"or\", [\"telling-truth\", 0], [\"lying\... | {"split": "train", "index": 7734} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by saints and sinners. Saints always tell the truth, and sinners always lie. You meet 5 inhabitants: Riley, Ava, Jacob, Emily, and Ella. Riley stated, \"Jacob is a sinner if and only if Jacob is a saint\". Ava said, \"Ella is a saint.\" \"if Riley is... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1067, \"statements\": [[\"<=>\", [\"lying\", 2], [\"telling-truth\", 2]], [\"not\", [\"lying\", 4]], [\"->\", [\"lying\", 0], [\"<=>\", [\"telling-truth\", 4], [\"telling-truth\", 0]]], [\"<=>\", [\"telling-truth\", 0], [\"not... | {"split": "train", "index": 7735} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by altruists and egoists. Altruists always tell the truth, and egoists always lie. You meet 5 inhabitants: William, Abigail, Luke, Sofia, and James. William was heard saying, \"(Luke is an egoist and William is an altruist) and (Abigail is an altruis... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1068, \"statements\": [[\"and\", [\"and\", [\"lying\", 2], [\"telling-truth\", 0]], [\"<=>\", [\"telling-truth\", 1], [\"telling-truth\", 4]]], [\"not\", [\"or\", [\"telling-truth\", 1], [\"lying\", 3]]], [\"and\", [\"and\", [... | {"split": "train", "index": 7736} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by angels and devils. Angels always tell the truth, and devils always lie. You meet 5 inhabitants: Daniel, Sebastian, David, Mia, and Lucas. Daniel expressed that Mia is an angel. As Sebastian put it, \"if (Mia is an angel if and only if Lucas is a d... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1069, \"statements\": [[\"telling-truth\", 3], [\"->\", [\"<=>\", [\"telling-truth\", 3], [\"lying\", 4]], [\"and\", [\"telling-truth\", 0], [\"lying\", 0]]], [\"or\", [\"<=>\", [\"lying\", 0], [\"telling-truth\", 1]], [\"<=>\... | {"split": "train", "index": 7737} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by angels and devils. Angels always tell the truth, and devils always lie. You meet 5 inhabitants: Aria, Elizabeth, Olivia, Mia, and Jackson. Aria commented, \"(Jackson is a devil or Mia is a devil) if and only if (Olivia is a devil)\". \"it is not t... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1070, \"statements\": [[\"<=>\", [\"or\", [\"lying\", 4], [\"lying\", 3]], [\"not\", [\"telling-truth\", 2]]], [\"not\", [\"->\", [\"telling-truth\", 2], [\"telling-truth\", 0]]], [\"->\", [\"lying\", 3], [\"->\", [\"lying\", ... | {"split": "train", "index": 7738} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Amelia, Ethan, Noah, Aria, and Matthew. According to Amelia, \"Noah is a knight if and only if (Aria is a knave or Ethan is a knight)\". As Ethan put... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1071, \"statements\": [[\"<=>\", [\"telling-truth\", 2], [\"or\", [\"lying\", 3], [\"telling-truth\", 1]]], [\"<=>\", [\"and\", [\"telling-truth\", 2], [\"lying\", 4]], [\"telling-truth\", 4]], [\"or\", [\"->\", [\"telling-tru... | {"split": "train", "index": 7739} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by heros and villains. Heros always tell the truth, and villains always lie. You meet 5 inhabitants: Aria, Olivia, Joseph, Noah, and Luke. Aria remarked, \"Olivia is a hero if and only if (Aria is a hero or Olivia is a villain)\". Olivia stated, \"No... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1072, \"statements\": [[\"<=>\", [\"telling-truth\", 1], [\"or\", [\"telling-truth\", 0], [\"lying\", 1]]], [\"lying\", 3], [\"->\", [\"<=>\", [\"telling-truth\", 3], [\"telling-truth\", 2]], [\"not\", [\"lying\", 0]]], [\"or\... | {"split": "train", "index": 7740} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Evelyn, Alexander, Sophia, James, and Penelope. \"(Alexander is a knight or Penelope is a knight) and (Sophia is a knight and James is a knave),\" Ev... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1073, \"statements\": [[\"and\", [\"or\", [\"telling-truth\", 1], [\"telling-truth\", 4]], [\"and\", [\"telling-truth\", 2], [\"lying\", 3]]], [\"<=>\", [\"or\", [\"telling-truth\", 2], [\"lying\", 2]], [\"<=>\", [\"lying\", 3... | {"split": "train", "index": 7741} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by pioneers and laggards. Pioneers always tell the truth, and laggards always lie. You meet 5 inhabitants: Noah, Scarlett, Lucas, Michael, and Avery. Noah stated, \"(Avery is a laggard and Scarlett is a pioneer) if and only if (Michael is a laggard)\... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1074, \"statements\": [[\"<=>\", [\"and\", [\"lying\", 4], [\"telling-truth\", 1]], [\"not\", [\"telling-truth\", 3]]], [\"not\", [\"<=>\", [\"telling-truth\", 1], [\"telling-truth\", 4]]], [\"->\", [\"lying\", 0], [\"<=>\", [... | {"split": "train", "index": 7742} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by heros and villains. Heros always tell the truth, and villains always lie. You meet 5 inhabitants: Aurora, Lucas, Chloe, Sebastian, and Evelyn. According to Aurora, \"it is not the case that (Evelyn is a hero)\". Lucas said, \"Evelyn is a hero.\" C... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1075, \"statements\": [[\"not\", [\"not\", [\"lying\", 4]]], [\"telling-truth\", 4], [\"lying\", 4], [\"lying\", 1], [\"and\", [\"and\", [\"telling-truth\", 4], [\"lying\", 1]], [\"or\", [\"telling-truth\", 3], [\"lying\", 1]]... | {"split": "train", "index": 7743} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by sages and fools. Sages always tell the truth, and fools always lie. You meet 5 inhabitants: Sofia, Riley, Ethan, Liam, and Joseph. Sofia expressed that if (Liam is a fool if and only if Joseph is a fool) then (if Ethan is a fool then Liam is a sag... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1076, \"statements\": [[\"->\", [\"<=>\", [\"lying\", 3], [\"lying\", 4]], [\"->\", [\"lying\", 2], [\"telling-truth\", 3]]], [\"not\", [\"or\", [\"telling-truth\", 3], [\"telling-truth\", 4]]], [\"and\", [\"->\", [\"telling-t... | {"split": "train", "index": 7744} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by angels and devils. Angels always tell the truth, and devils always lie. You meet 5 inhabitants: Elizabeth, Aurora, Alexander, Olivia, and Lily. As Elizabeth put it, \"(Alexander is an angel) or (Elizabeth is a devil)\". Aurora noted, \"it is not t... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1077, \"statements\": [[\"or\", [\"not\", [\"lying\", 2]], [\"not\", [\"telling-truth\", 0]]], [\"not\", [\"and\", [\"telling-truth\", 3], [\"telling-truth\", 0]]], [\"->\", [\"not\", [\"telling-truth\", 0]], [\"and\", [\"lyin... | {"split": "train", "index": 7745} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by heros and villains. Heros always tell the truth, and villains always lie. You meet 5 inhabitants: William, Penelope, Mason, Samuel, and Henry. William stated, \"(if Mason is a villain then Mason is a hero) and (Penelope is a villain and Samuel is ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1078, \"statements\": [[\"and\", [\"->\", [\"lying\", 2], [\"telling-truth\", 2]], [\"and\", [\"lying\", 1], [\"lying\", 3]]], [\"or\", [\"and\", [\"lying\", 3], [\"telling-truth\", 0]], [\"and\", [\"telling-truth\", 0], [\"te... | {"split": "train", "index": 7746} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Lucas, Aiden, Chloe, Lily, and Ethan. \"(Lily is a knight) and (Lily is a knave and Lily is a knight)\" - Lucas. Aiden expressed that Aiden is a knig... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1079, \"statements\": [[\"and\", [\"not\", [\"lying\", 3]], [\"and\", [\"lying\", 3], [\"telling-truth\", 3]]], [\"telling-truth\", 1], [\"telling-truth\", 0], [\"->\", [\"telling-truth\", 3], [\"->\", [\"lying\", 0], [\"telli... | {"split": "train", "index": 7747} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by angels and devils. Angels always tell the truth, and devils always lie. You meet 5 inhabitants: Amelia, Elizabeth, Aurora, Ethan, and Emily. Amelia noted, \"(Ethan is a devil and Elizabeth is an angel) if and only if (Ethan is an angel if and only... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1080, \"statements\": [[\"<=>\", [\"and\", [\"lying\", 3], [\"telling-truth\", 1]], [\"<=>\", [\"telling-truth\", 3], [\"lying\", 1]]], [\"<=>\", [\"lying\", 0], [\"not\", [\"telling-truth\", 0]]], [\"<=>\", [\"not\", [\"telli... | {"split": "train", "index": 7748} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by pioneers and laggards. Pioneers always tell the truth, and laggards always lie. You meet 5 inhabitants: Aria, Luke, Abigail, David, and Alexander. Aria noted, \"Alexander is a laggard\". In Luke's words: \"(if Alexander is a pioneer then Abigail i... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1081, \"statements\": [[\"lying\", 4], [\"<=>\", [\"->\", [\"telling-truth\", 4], [\"lying\", 2]], [\"not\", [\"lying\", 0]]], [\"telling-truth\", 0], [\"->\", [\"<=>\", [\"telling-truth\", 0], [\"telling-truth\", 4]], [\"->\"... | {"split": "train", "index": 7749} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by angels and devils. Angels always tell the truth, and devils always lie. You meet 5 inhabitants: Aiden, Lily, Mia, Penelope, and Ella. Aiden told you that if (Ella is a devil or Mia is an angel) then (Penelope is an angel if and only if Mia is an a... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1082, \"statements\": [[\"->\", [\"or\", [\"lying\", 4], [\"telling-truth\", 2]], [\"<=>\", [\"telling-truth\", 3], [\"telling-truth\", 2]]], [\"->\", [\"not\", [\"lying\", 4]], [\"<=>\", [\"telling-truth\", 1], [\"telling-tru... | {"split": "train", "index": 7750} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by sages and fools. Sages always tell the truth, and fools always lie. You meet 5 inhabitants: Lucas, Owen, Samuel, Alexander, and Harper. Lucas said, \"it is not the case that (Samuel is a fool).\" Owen stated, \"it is not the case that (Lucas is a ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1083, \"statements\": [[\"not\", [\"not\", [\"telling-truth\", 2]]], [\"not\", [\"or\", [\"lying\", 0], [\"telling-truth\", 4]]], [\"<=>\", [\"and\", [\"lying\", 4], [\"lying\", 0]], [\"->\", [\"telling-truth\", 2], [\"telling... | {"split": "train", "index": 7751} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by pioneers and laggards. Pioneers always tell the truth, and laggards always lie. You meet 5 inhabitants: Alexander, Aiden, Michael, Sofia, and David. Alexander said that (Aiden is a pioneer) or (Sofia is a laggard or Alexander is a pioneer). In Aid... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1084, \"statements\": [[\"or\", [\"not\", [\"lying\", 1]], [\"or\", [\"lying\", 3], [\"telling-truth\", 0]]], [\"not\", [\"not\", [\"lying\", 4]]], [\"not\", [\"or\", [\"lying\", 4], [\"telling-truth\", 3]]], [\"telling-truth\... | {"split": "train", "index": 7752} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Harper, Lucas, Daniel, Jackson, and Jacob. Harper noted, \"(Lucas is a knave and Harper is a knight) if and only if (Daniel is a knight and Lucas is ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1085, \"statements\": [[\"<=>\", [\"and\", [\"lying\", 1], [\"telling-truth\", 0]], [\"and\", [\"telling-truth\", 2], [\"telling-truth\", 1]]], [\"<=>\", [\"not\", [\"telling-truth\", 1]], [\"and\", [\"lying\", 2], [\"telling-... | {"split": "train", "index": 7753} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by sages and fools. Sages always tell the truth, and fools always lie. You meet 5 inhabitants: Olivia, Chloe, Alexander, Samuel, and Zoey. Olivia was heard saying, \"(if Alexander is a sage then Samuel is a sage) or (if Alexander is a sage then Zoey ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1086, \"statements\": [[\"or\", [\"->\", [\"telling-truth\", 2], [\"telling-truth\", 3]], [\"->\", [\"telling-truth\", 2], [\"telling-truth\", 4]]], [\"->\", [\"<=>\", [\"lying\", 2], [\"telling-truth\", 2]], [\"or\", [\"lying... | {"split": "train", "index": 7754} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Zoey, Mia, Sebastian, Riley, and Alexander. Zoey said that (Riley is a knight if and only if Alexander is a knight) if and only if (Alexander is a kn... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1087, \"statements\": [[\"<=>\", [\"<=>\", [\"telling-truth\", 3], [\"telling-truth\", 4]], [\"<=>\", [\"lying\", 4], [\"lying\", 2]]], [\"and\", [\"lying\", 0], [\"and\", [\"telling-truth\", 2], [\"telling-truth\", 1]]], [\"<... | {"split": "train", "index": 7755} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by pioneers and laggards. Pioneers always tell the truth, and laggards always lie. You meet 5 inhabitants: Samuel, Scarlett, Noah, Aurora, and Isabella. According to Samuel, \"if (if Scarlett is a pioneer then Aurora is a pioneer) then (Scarlett is a... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1088, \"statements\": [[\"->\", [\"->\", [\"telling-truth\", 1], [\"telling-truth\", 3]], [\"<=>\", [\"lying\", 1], [\"telling-truth\", 3]]], [\"lying\", 4], [\"and\", [\"not\", [\"telling-truth\", 4]], [\"lying\", 1]], [\"->\... | {"split": "train", "index": 7756} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Joseph, Mason, Sophia, Sebastian, and Daniel. Joseph noted, \"(Sebastian is a knight and Sophia is a knight) or (Mason is a knave if and only if Dani... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1089, \"statements\": [[\"or\", [\"and\", [\"telling-truth\", 3], [\"telling-truth\", 2]], [\"<=>\", [\"lying\", 1], [\"lying\", 4]]], [\"->\", [\"->\", [\"telling-truth\", 1], [\"telling-truth\", 3]], [\"or\", [\"lying\", 3],... | {"split": "train", "index": 7757} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Daniel, Sophia, Riley, Mason, and Olivia. In a statement by Daniel: \"Riley is a knight if and only if (Mason is a knight if and only if Daniel is a ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1090, \"statements\": [[\"<=>\", [\"telling-truth\", 2], [\"<=>\", [\"telling-truth\", 3], [\"telling-truth\", 0]]], [\"and\", [\"<=>\", [\"lying\", 0], [\"telling-truth\", 4]], [\"not\", [\"lying\", 0]]], [\"->\", [\"or\", [\... | {"split": "train", "index": 7758} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by saints and sinners. Saints always tell the truth, and sinners always lie. You meet 5 inhabitants: Sophia, Noah, Isabella, Penelope, and Harper. Sophia was heard saying, \"if Penelope is a saint then (Harper is a saint or Penelope is a sinner)\". N... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1091, \"statements\": [[\"->\", [\"telling-truth\", 3], [\"or\", [\"telling-truth\", 4], [\"lying\", 3]]], [\"telling-truth\", 2], [\"not\", [\"or\", [\"lying\", 1], [\"telling-truth\", 3]]], [\"<=>\", [\"->\", [\"telling-trut... | {"split": "train", "index": 7759} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by heros and villains. Heros always tell the truth, and villains always lie. You meet 5 inhabitants: Sebastian, Alexander, Jackson, Emily, and Lily. According to Sebastian, \"(Jackson is a hero) or (Emily is a villain if and only if Lily is a hero)\"... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1092, \"statements\": [[\"or\", [\"not\", [\"lying\", 2]], [\"<=>\", [\"lying\", 3], [\"telling-truth\", 4]]], [\"and\", [\"and\", [\"telling-truth\", 2], [\"telling-truth\", 4]], [\"and\", [\"telling-truth\", 3], [\"lying\", ... | {"split": "train", "index": 7760} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Owen, Harper, Oliver, Jacob, and Isabella. In Owen's words: \"Jacob is a knight\". Harper said that it is not the case that (Owen is a knight and Isa... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1093, \"statements\": [[\"telling-truth\", 3], [\"not\", [\"and\", [\"telling-truth\", 0], [\"lying\", 4]]], [\"or\", [\"or\", [\"telling-truth\", 2], [\"telling-truth\", 3]], [\"not\", [\"telling-truth\", 4]]], [\"telling-tru... | {"split": "train", "index": 7761} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by heros and villains. Heros always tell the truth, and villains always lie. You meet 5 inhabitants: Emma, Zoey, Alexander, Aurora, and Charlotte. Emma stated, \"(Zoey is a villain and Aurora is a hero) and Aurora is a villain\". In Zoey's words: \"(... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1094, \"statements\": [[\"and\", [\"and\", [\"lying\", 1], [\"telling-truth\", 3]], [\"lying\", 3]], [\"<=>\", [\"or\", [\"lying\", 2], [\"telling-truth\", 4]], [\"and\", [\"telling-truth\", 4], [\"telling-truth\", 3]]], [\"te... | {"split": "train", "index": 7762} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by angels and devils. Angels always tell the truth, and devils always lie. You meet 5 inhabitants: Penelope, Aurora, Alexander, Sebastian, and Ella. \"Ella is an angel,\" Penelope claimed. According to Aurora, \"it is not the case that (Ella is an an... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1095, \"statements\": [[\"telling-truth\", 4], [\"not\", [\"and\", [\"telling-truth\", 4], [\"lying\", 3]]], [\"and\", [\"or\", [\"lying\", 0], [\"lying\", 1]], [\"not\", [\"telling-truth\", 0]]], [\"or\", [\"or\", [\"lying\",... | {"split": "train", "index": 7763} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by heros and villains. Heros always tell the truth, and villains always lie. You meet 5 inhabitants: Victoria, Jacob, Amelia, Matthew, and Ethan. According to Victoria, \"(Matthew is a villain and Ethan is a villain) if and only if (Ethan is a villai... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1096, \"statements\": [[\"<=>\", [\"and\", [\"lying\", 3], [\"lying\", 4]], [\"<=>\", [\"lying\", 4], [\"telling-truth\", 1]]], [\"and\", [\"->\", [\"lying\", 3], [\"telling-truth\", 2]], [\"->\", [\"telling-truth\", 1], [\"ly... | {"split": "train", "index": 7764} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by pioneers and laggards. Pioneers always tell the truth, and laggards always lie. You meet 5 inhabitants: Charlotte, Scarlett, Samuel, Matthew, and Evelyn. Charlotte commented, \"Evelyn is a laggard and (Evelyn is a laggard)\". Scarlett asserted: \"... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1097, \"statements\": [[\"and\", [\"lying\", 4], [\"not\", [\"telling-truth\", 4]]], [\"not\", [\"not\", [\"telling-truth\", 0]]], [\"not\", [\"and\", [\"lying\", 3], [\"telling-truth\", 0]]], [\"or\", [\"<=>\", [\"telling-tru... | {"split": "train", "index": 7765} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by heros and villains. Heros always tell the truth, and villains always lie. You meet 5 inhabitants: Liam, Emma, Scarlett, Michael, and Evelyn. Liam said that if (Liam is a villain) then (Evelyn is a hero). In a statement by Emma: \"(Michael is a vil... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1098, \"statements\": [[\"->\", [\"not\", [\"telling-truth\", 0]], [\"not\", [\"lying\", 4]]], [\"and\", [\"or\", [\"lying\", 3], [\"telling-truth\", 3]], [\"->\", [\"telling-truth\", 0], [\"lying\", 4]]], [\"->\", [\"->\", [\... | {"split": "train", "index": 7766} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by pioneers and laggards. Pioneers always tell the truth, and laggards always lie. You meet 5 inhabitants: Daniel, Evelyn, Liam, Charlotte, and Sebastian. \"if (Sebastian is a pioneer and Evelyn is a laggard) then (if Sebastian is a pioneer then Evel... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1099, \"statements\": [[\"->\", [\"and\", [\"telling-truth\", 4], [\"lying\", 1]], [\"->\", [\"telling-truth\", 4], [\"telling-truth\", 1]]], [\"telling-truth\", 3], [\"telling-truth\", 3], [\"or\", [\"<=>\", [\"telling-truth\... | {"split": "train", "index": 7767} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by saints and sinners. Saints always tell the truth, and sinners always lie. You meet 5 inhabitants: Sebastian, Oliver, Emily, Aiden, and Mason. \"it is not the case that (Aiden is a saint if and only if Emily is a sinner),\" Sebastian declared. Oliv... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1100, \"statements\": [[\"not\", [\"<=>\", [\"telling-truth\", 3], [\"lying\", 2]]], [\"<=>\", [\"->\", [\"lying\", 4], [\"telling-truth\", 0]], [\"not\", [\"lying\", 2]]], [\"and\", [\"->\", [\"lying\", 0], [\"lying\", 1]], [... | {"split": "train", "index": 7768} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by saints and sinners. Saints always tell the truth, and sinners always lie. You meet 5 inhabitants: Owen, Emily, Samuel, Avery, and Sofia. In Owen's words: \"(Sofia is a sinner and Owen is a saint) or (Owen is a saint or Samuel is a sinner)\". \"(if... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1101, \"statements\": [[\"or\", [\"and\", [\"lying\", 4], [\"telling-truth\", 0]], [\"or\", [\"telling-truth\", 0], [\"lying\", 2]]], [\"and\", [\"->\", [\"telling-truth\", 3], [\"telling-truth\", 0]], [\"telling-truth\", 4]],... | {"split": "train", "index": 7769} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by angels and devils. Angels always tell the truth, and devils always lie. You meet 5 inhabitants: Samuel, Alexander, Liam, Ella, and Elizabeth. Samuel commented, \"Elizabeth is an angel\". Alexander was heard saying, \"(Samuel is an angel or Elizabe... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1102, \"statements\": [[\"telling-truth\", 4], [\"<=>\", [\"or\", [\"telling-truth\", 0], [\"lying\", 4]], [\"telling-truth\", 2]], [\"or\", [\"not\", [\"telling-truth\", 0]], [\"->\", [\"telling-truth\", 4], [\"lying\", 4]]],... | {"split": "train", "index": 7770} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by pioneers and laggards. Pioneers always tell the truth, and laggards always lie. You meet 5 inhabitants: Emma, Chloe, Lucas, Charlotte, and Mason. Emma said, \"(Mason is a laggard or Emma is a pioneer) or (if Charlotte is a laggard then Emma is a p... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1103, \"statements\": [[\"or\", [\"or\", [\"lying\", 4], [\"telling-truth\", 0]], [\"->\", [\"lying\", 3], [\"telling-truth\", 0]]], [\"lying\", 4], [\"telling-truth\", 1], [\"<=>\", [\"not\", [\"telling-truth\", 0]], [\"->\",... | {"split": "train", "index": 7771} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Sebastian, Jacob, Evelyn, Harper, and Jack. Sebastian said, \"(Harper is a knight or Jacob is a knight) or Jacob is a knave.\" In a statement by Jaco... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1104, \"statements\": [[\"or\", [\"or\", [\"telling-truth\", 3], [\"telling-truth\", 1]], [\"lying\", 1]], [\"and\", [\"->\", [\"telling-truth\", 1], [\"lying\", 2]], [\"->\", [\"lying\", 2], [\"telling-truth\", 4]]], [\"and\"... | {"split": "train", "index": 7772} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by heros and villains. Heros always tell the truth, and villains always lie. You meet 5 inhabitants: Ethan, Evelyn, Michael, Amelia, and Sophia. Ethan commented, \"(Michael is a villain) and (Sophia is a villain)\". According to Evelyn, \"(Ethan is a... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1105, \"statements\": [[\"and\", [\"not\", [\"telling-truth\", 2]], [\"not\", [\"telling-truth\", 4]]], [\"<=>\", [\"<=>\", [\"telling-truth\", 0], [\"telling-truth\", 4]], [\"<=>\", [\"lying\", 3], [\"telling-truth\", 2]]], [... | {"split": "train", "index": 7773} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Alexander, Sophia, Ethan, Emma, and Lily. Alexander said, \"it is not the case that (Lily is a knave).\" Sophia asserted: \"Alexander is a knight\". ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1106, \"statements\": [[\"not\", [\"not\", [\"telling-truth\", 4]]], [\"telling-truth\", 0], [\"not\", [\"->\", [\"lying\", 4], [\"telling-truth\", 3]]], [\"not\", [\"<=>\", [\"lying\", 4], [\"telling-truth\", 0]]], [\"->\", [... | {"split": "train", "index": 7774} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by altruists and egoists. Altruists always tell the truth, and egoists always lie. You meet 5 inhabitants: Luke, Olivia, Emma, Henry, and Aurora. Luke asserted: \"(Henry is an altruist and Aurora is an egoist) if and only if (Emma is an egoist or Aur... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1107, \"statements\": [[\"<=>\", [\"and\", [\"telling-truth\", 3], [\"lying\", 4]], [\"or\", [\"lying\", 2], [\"telling-truth\", 4]]], [\"<=>\", [\"->\", [\"lying\", 4], [\"telling-truth\", 1]], [\"->\", [\"lying\", 0], [\"tel... | {"split": "train", "index": 7775} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by heros and villains. Heros always tell the truth, and villains always lie. You meet 5 inhabitants: Lucas, David, Daniel, Liam, and Penelope. Lucas was heard saying, \"(Liam is a hero and Daniel is a villain) if and only if (Liam is a hero or David ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1108, \"statements\": [[\"<=>\", [\"and\", [\"telling-truth\", 3], [\"lying\", 2]], [\"or\", [\"telling-truth\", 3], [\"lying\", 1]]], [\"<=>\", [\"->\", [\"lying\", 3], [\"lying\", 2]], [\"->\", [\"lying\", 4], [\"telling-tru... | {"split": "train", "index": 7776} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by angels and devils. Angels always tell the truth, and devils always lie. You meet 5 inhabitants: Aria, Zoey, Aiden, Ava, and Avery. Aria was heard saying, \"if Aria is an angel then (Ava is an angel or Avery is a devil)\". As Zoey put it, \"(Ava is... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1109, \"statements\": [[\"->\", [\"telling-truth\", 0], [\"or\", [\"telling-truth\", 3], [\"lying\", 4]]], [\"or\", [\"and\", [\"lying\", 3], [\"telling-truth\", 1]], [\"not\", [\"telling-truth\", 0]]], [\"->\", [\"telling-tru... | {"split": "train", "index": 7777} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by heros and villains. Heros always tell the truth, and villains always lie. You meet 5 inhabitants: Penelope, Jack, Matthew, Lily, and Noah. In Penelope's words: \"Noah is a villain and (Noah is a hero and Jack is a hero)\". Jack expressed that if (... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1110, \"statements\": [[\"and\", [\"lying\", 4], [\"and\", [\"telling-truth\", 4], [\"telling-truth\", 1]]], [\"->\", [\"not\", [\"telling-truth\", 4]], [\"->\", [\"telling-truth\", 4], [\"telling-truth\", 2]]], [\"<=>\", [\"-... | {"split": "train", "index": 7778} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by sages and fools. Sages always tell the truth, and fools always lie. You meet 5 inhabitants: Zoey, Elizabeth, Matthew, Evelyn, and Harper. \"(Matthew is a sage if and only if Evelyn is a sage) and (Elizabeth is a fool or Evelyn is a sage),\" Zoey m... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1111, \"statements\": [[\"and\", [\"<=>\", [\"telling-truth\", 2], [\"telling-truth\", 3]], [\"or\", [\"lying\", 1], [\"telling-truth\", 3]]], [\"<=>\", [\"not\", [\"telling-truth\", 0]], [\"and\", [\"lying\", 2], [\"lying\", ... | {"split": "train", "index": 7779} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by angels and devils. Angels always tell the truth, and devils always lie. You meet 5 inhabitants: Samuel, Charlotte, Isabella, Olivia, and Alexander. Samuel noted, \"if Olivia is a devil then (Charlotte is a devil)\". \"it is not the case that (Alex... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1112, \"statements\": [[\"->\", [\"lying\", 3], [\"not\", [\"telling-truth\", 1]]], [\"not\", [\"<=>\", [\"lying\", 4], [\"telling-truth\", 1]]], [\"or\", [\"<=>\", [\"telling-truth\", 1], [\"telling-truth\", 3]], [\"or\", [\"... | {"split": "train", "index": 7780} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by altruists and egoists. Altruists always tell the truth, and egoists always lie. You meet 5 inhabitants: David, Jack, Grace, Emily, and Aria. David said, \"(if Jack is an altruist then Emily is an altruist) and Aria is an altruist.\" Jack was heard... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1113, \"statements\": [[\"and\", [\"->\", [\"telling-truth\", 1], [\"telling-truth\", 3]], [\"telling-truth\", 4]], [\"not\", [\"<=>\", [\"telling-truth\", 1], [\"telling-truth\", 2]]], [\"<=>\", [\"and\", [\"telling-truth\", ... | {"split": "train", "index": 7781} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: Sebastian, Jack, Lucas, Sofia, and Logan. Sebastian commented, \"(Sofia is a knave and Lucas is a knight) or (Jack is a knave if and only if Sofia is... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1114, \"statements\": [[\"or\", [\"and\", [\"lying\", 3], [\"telling-truth\", 2]], [\"<=>\", [\"lying\", 1], [\"telling-truth\", 3]]], [\"or\", [\"not\", [\"lying\", 3]], [\"or\", [\"telling-truth\", 4], [\"telling-truth\", 3]... | {"split": "train", "index": 7782} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by saints and sinners. Saints always tell the truth, and sinners always lie. You meet 5 inhabitants: Alexander, Harper, Riley, Luke, and Noah. \"(Harper is a sinner and Noah is a sinner) and (Noah is a sinner if and only if Riley is a sinner),\" Alex... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1115, \"statements\": [[\"and\", [\"and\", [\"lying\", 1], [\"lying\", 4]], [\"<=>\", [\"lying\", 4], [\"lying\", 2]]], [\"not\", [\"->\", [\"telling-truth\", 2], [\"telling-truth\", 3]]], [\"or\", [\"lying\", 3], [\"and\", [\... | {"split": "train", "index": 7783} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by altruists and egoists. Altruists always tell the truth, and egoists always lie. You meet 5 inhabitants: Aurora, Olivia, William, Harper, and Isabella. \"(Olivia is an altruist or Harper is an egoist) and (Olivia is an egoist)\" - Aurora. \"Aurora ... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1116, \"statements\": [[\"and\", [\"or\", [\"telling-truth\", 1], [\"lying\", 3]], [\"not\", [\"telling-truth\", 1]]], [\"lying\", 0], [\"<=>\", [\"<=>\", [\"lying\", 4], [\"lying\", 3]], [\"or\", [\"telling-truth\", 1], [\"te... | {"split": "train", "index": 7784} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: William, Noah, Matthew, Jackson, and Daniel. \"if (William is a knight if and only if Matthew is a knight) then Daniel is a knave,\" William claimed.... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1117, \"statements\": [[\"->\", [\"<=>\", [\"telling-truth\", 0], [\"telling-truth\", 2]], [\"lying\", 4]], [\"lying\", 3], [\"and\", [\"and\", [\"telling-truth\", 1], [\"telling-truth\", 0]], [\"not\", [\"telling-truth\", 4]]... | {"split": "train", "index": 7785} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by heros and villains. Heros always tell the truth, and villains always lie. You meet 5 inhabitants: Samuel, Michael, Isabella, Mason, and Grace. \"if (Michael is a villain or Mason is a villain) then (Isabella is a villain and Mason is a villain),\"... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1118, \"statements\": [[\"->\", [\"or\", [\"lying\", 1], [\"lying\", 3]], [\"and\", [\"lying\", 2], [\"lying\", 3]]], [\"lying\", 4], [\"<=>\", [\"and\", [\"lying\", 3], [\"telling-truth\", 4]], [\"lying\", 4]], [\"<=>\", [\"a... | {"split": "train", "index": 7786} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by heros and villains. Heros always tell the truth, and villains always lie. You meet 5 inhabitants: Oliver, Charlotte, Noah, Joseph, and Aurora. Oliver was heard saying, \"Charlotte is a villain\". Charlotte noted, \"if (Oliver is a hero and Noah is... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1119, \"statements\": [[\"lying\", 1], [\"->\", [\"and\", [\"telling-truth\", 0], [\"lying\", 2]], [\"and\", [\"lying\", 2], [\"telling-truth\", 4]]], [\"lying\", 4], [\"not\", [\"<=>\", [\"telling-truth\", 2], [\"telling-trut... | {"split": "train", "index": 7787} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by altruists and egoists. Altruists always tell the truth, and egoists always lie. You meet 5 inhabitants: Mason, Riley, Chloe, Penelope, and Joseph. Mason commented, \"(if Joseph is an egoist then Joseph is an altruist) or Riley is an altruist\". Ri... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1120, \"statements\": [[\"or\", [\"->\", [\"lying\", 4], [\"telling-truth\", 4]], [\"telling-truth\", 1]], [\"not\", [\"<=>\", [\"lying\", 4], [\"telling-truth\", 0]]], [\"and\", [\"lying\", 0], [\"not\", [\"lying\", 0]]], [\"... | {"split": "train", "index": 7788} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by angels and devils. Angels always tell the truth, and devils always lie. You meet 5 inhabitants: Aria, Elizabeth, Noah, Jacob, and Luke. Aria noted, \"(if Aria is an angel then Noah is an angel) and (Noah is an angel and Elizabeth is an angel)\". A... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1121, \"statements\": [[\"and\", [\"->\", [\"telling-truth\", 0], [\"telling-truth\", 2]], [\"and\", [\"telling-truth\", 2], [\"telling-truth\", 1]]], [\"or\", [\"<=>\", [\"telling-truth\", 3], [\"lying\", 2]], [\"->\", [\"lyi... | {"split": "train", "index": 7789} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by pioneers and laggards. Pioneers always tell the truth, and laggards always lie. You meet 5 inhabitants: Olivia, Evelyn, Sebastian, Noah, and Scarlett. Olivia said that Sebastian is a pioneer. \"(if Scarlett is a laggard then Sebastian is a pioneer... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1122, \"statements\": [[\"telling-truth\", 2], [\"<=>\", [\"->\", [\"lying\", 4], [\"telling-truth\", 2]], [\"or\", [\"telling-truth\", 4], [\"telling-truth\", 2]]], [\"or\", [\"->\", [\"telling-truth\", 0], [\"lying\", 0]], [... | {"split": "train", "index": 7790} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by saints and sinners. Saints always tell the truth, and sinners always lie. You meet 5 inhabitants: Zoey, Aria, Lily, Penelope, and David. Zoey asserted: \"(if David is a sinner then Penelope is a saint) and (if Penelope is a sinner then Penelope is... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1123, \"statements\": [[\"and\", [\"->\", [\"lying\", 4], [\"telling-truth\", 3]], [\"->\", [\"lying\", 3], [\"telling-truth\", 3]]], [\"->\", [\"<=>\", [\"telling-truth\", 4], [\"telling-truth\", 0]], [\"or\", [\"telling-trut... | {"split": "train", "index": 7791} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by saints and sinners. Saints always tell the truth, and sinners always lie. You meet 5 inhabitants: Owen, Aria, Jack, Riley, and Alexander. Owen remarked, \"Riley is a sinner and (Riley is a saint or Jack is a sinner)\". Aria stated, \"(Owen is a sa... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1124, \"statements\": [[\"and\", [\"lying\", 3], [\"or\", [\"telling-truth\", 3], [\"lying\", 2]]], [\"and\", [\"or\", [\"telling-truth\", 0], [\"telling-truth\", 4]], [\"not\", [\"lying\", 4]]], [\"->\", [\"and\", [\"lying\",... | {"split": "train", "index": 7792} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by altruists and egoists. Altruists always tell the truth, and egoists always lie. You meet 5 inhabitants: Evelyn, William, Charlotte, Elizabeth, and Michael. \"(Charlotte is an altruist and William is an egoist) or (Charlotte is an egoist if and onl... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1125, \"statements\": [[\"or\", [\"and\", [\"telling-truth\", 2], [\"lying\", 1]], [\"<=>\", [\"lying\", 2], [\"telling-truth\", 2]]], [\"->\", [\"or\", [\"telling-truth\", 1], [\"telling-truth\", 4]], [\"<=>\", [\"lying\", 3]... | {"split": "train", "index": 7793} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by heros and villains. Heros always tell the truth, and villains always lie. You meet 5 inhabitants: Isabella, Sofia, Mia, Emma, and Samuel. \"(Emma is a villain if and only if Isabella is a hero) and (Samuel is a villain or Isabella is a hero),\" Is... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1126, \"statements\": [[\"and\", [\"<=>\", [\"lying\", 3], [\"telling-truth\", 0]], [\"or\", [\"lying\", 4], [\"telling-truth\", 0]]], [\"or\", [\"not\", [\"telling-truth\", 4]], [\"not\", [\"telling-truth\", 3]]], [\"and\", [... | {"split": "train", "index": 7794} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by altruists and egoists. Altruists always tell the truth, and egoists always lie. You meet 5 inhabitants: Aurora, Daniel, Alexander, James, and Victoria. Aurora remarked, \"(Daniel is an egoist if and only if Daniel is an altruist) and (if Alexander... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1127, \"statements\": [[\"and\", [\"<=>\", [\"lying\", 1], [\"telling-truth\", 1]], [\"->\", [\"telling-truth\", 2], [\"telling-truth\", 0]]], [\"->\", [\"lying\", 2], [\"<=>\", [\"lying\", 3], [\"lying\", 2]]], [\"<=>\", [\"a... | {"split": "train", "index": 7795} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by heros and villains. Heros always tell the truth, and villains always lie. You meet 5 inhabitants: Olivia, William, Aiden, Grace, and Logan. In a statement by Olivia: \"Olivia is a hero or (Aiden is a hero if and only if Logan is a villain)\". As W... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1128, \"statements\": [[\"or\", [\"telling-truth\", 0], [\"<=>\", [\"telling-truth\", 2], [\"lying\", 4]]], [\"and\", [\"lying\", 0], [\"<=>\", [\"lying\", 4], [\"lying\", 3]]], [\"<=>\", [\"telling-truth\", 3], [\"not\", [\"t... | {"split": "train", "index": 7796} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by angels and devils. Angels always tell the truth, and devils always lie. You meet 5 inhabitants: Mia, Charlotte, Sophia, Scarlett, and Benjamin. \"if (Benjamin is an angel) then (Charlotte is an angel)\" - Mia. According to Charlotte, \"(Benjamin i... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1129, \"statements\": [[\"->\", [\"not\", [\"lying\", 4]], [\"not\", [\"lying\", 1]]], [\"or\", [\"or\", [\"telling-truth\", 4], [\"telling-truth\", 1]], [\"->\", [\"lying\", 0], [\"telling-truth\", 1]]], [\"or\", [\"<=>\", [\... | {"split": "train", "index": 7797} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by knights and knaves. Knights always tell the truth, and knaves always lie. You meet 5 inhabitants: James, Matthew, Samuel, Owen, and Aurora. \"(if Aurora is a knave then James is a knight) if and only if (Samuel is a knave and Owen is a knave),\" J... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1130, \"statements\": [[\"<=>\", [\"->\", [\"lying\", 4], [\"telling-truth\", 0]], [\"and\", [\"lying\", 2], [\"lying\", 3]]], [\"and\", [\"not\", [\"telling-truth\", 3]], [\"<=>\", [\"telling-truth\", 3], [\"telling-truth\", ... | {"split": "train", "index": 7798} |
reasoning_gym | [{"role": "user", "content": "A very special island is inhabited only by angels and devils. Angels always tell the truth, and devils always lie. You meet 5 inhabitants: Victoria, Lucas, Elizabeth, Owen, and Benjamin. Victoria told you that it is not the case that (Benjamin is an angel). Lucas was heard saying, \"(Victo... | reasoning_gym | {"style": "rule", "ground_truth": "{\"source_dataset\": \"knights_knaves\", \"source_index\": 1131, \"statements\": [[\"not\", [\"not\", [\"lying\", 4]]], [\"and\", [\"or\", [\"lying\", 0], [\"lying\", 2]], [\"not\", [\"lying\", 0]]], [\"telling-truth\", 4], [\"lying\", 4], [\"->\", [\"not\", [\"lying\", 1]], [\"not\",... | {"split": "train", "index": 7799} |
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